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We consider a wireless sensor network, consisting of N heterogeneous sensors and a fusion center (FC), tasked with solving a binary distributed detection problem. Sensors communicate directly with the FC over orthogonal fading channels.…

Signal Processing · Electrical Eng. & Systems 2021-08-25 Ghazaleh Ardeshiri , Azadeh Vosoughi

This paper takes a different approach for the distributed linear parameter estimation over a multi-agent network. The parameter vector is considered to be stochastic with a Gaussian distribution. The sensor measurements at each agent are…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Subhro Das

Bayesian learning is a powerful learning framework which combines the external information of the data (background information) with the internal information (training data) in a logically consistent way in inference and prediction. By…

Machine Learning · Statistics 2026-02-11 Erdong Guo , David Draper

Distributed estimation based on measurements from multiple wireless sensors is investigated. It is assumed that a group of sensors observe the same quantity in independent additive observation noises with possibly different variances. The…

Information Theory · Computer Science 2009-11-13 Shuguang Cui , Jinjun Xiao , Andrea Goldsmith , Zhi-Quan Luo , H. Vincent Poor

In indirect measurements, the measurand is determined by solving an inverse problem which requires a model of the measurement process. Such models are often approximations and introduce systematic errors leading to a bias of the posterior…

Methodology · Statistics 2025-09-22 Maren Casfor , Philipp Trunschke , Sebastian Heidenreich , Nando Hegemann

A hierarchical Bayesian approach that permits simultaneous inference for the regression coefficient matrix and the error precision (inverse covariance) matrix in the multivariate linear model is proposed. Assuming a natural ordering of the…

Methodology · Statistics 2024-10-29 Christina Zhao , Ding Xiang , Galin L. Jones , Adam J. Rothman

Spatially misaligned data can be fused by using a Bayesian melding model that assumes that underlying all observations there is a spatially continuous Gaussian random field process. This model can be used, for example, to predict air…

Methodology · Statistics 2024-06-06 Ruiman Zhong , André Victor Ribeiro Amaral , Paula Moraga

A wireless sensor network often relies on a fusion center to process the data collected by each of its sensing nodes. Such an approach relies on the continuous transmission of raw data to the fusion center, which typically has a major…

Signal Processing · Electrical Eng. & Systems 2024-03-14 Charles Hovine , Alexander Bertrand

In this paper we tackle distributed detection of a non-cooperative target with a Wireless Sensor Network (WSN). When the target is present, sensors observe an unknown random signal with amplitude attenuation depending on the distance…

Information Theory · Computer Science 2016-12-20 D. Ciuonzo , P. Salvo Rossi

In this paper we address the problem of performing Bayesian inference for the parameters of a nonlinear multi-output model and the covariance matrix of the different output signals. We propose an adaptive importance sampling (AIS) scheme…

Computation · Statistics 2025-01-03 E. Curbelo , L. Martino , F. Llorente , D. Delgado-Gomez

Data dispersed across multiple files are commonly integrated through probabilistic linkage methods, where even minimal error rates in record matching can significantly contaminate subsequent statistical analyses. In regression problems, we…

Statistics Theory · Mathematics 2024-09-18 Abhisek Chakraborty , Saptati Datta

We consider the decentralized binary hypothesis testing problem in networks with feedback, where some or all of the sensors have access to compressed summaries of other sensors' observations. We study certain two-message feedback…

Information Theory · Computer Science 2011-09-01 Wee Peng Tay

The problem of distributed or decentralized detection and estimation in applications such as wireless sensor networks has often been considered in the framework of parametric models, in which strong assumptions are made about a statistical…

Information Theory · Computer Science 2015-06-25 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

This paper deals with the problem of clustering data returned by a radar sensor network that monitors a region where multiple moving targets are present. The network is formed by nodes with limited functionalities that transmit the…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Linjie Yan , Pia Addabbo , Nicomino Fiscante , Carmine Clemente , Chengpeng Hao , Gaetano Giunta , Danilo Orlando

The distributed nature of cellular networks is one of the main enablers for integrated sensing and communication (ISAC). For target positioning and tracking, making use of bistatic measurements is non-trivial due to their non-linear…

Signal Processing · Electrical Eng. & Systems 2024-10-16 Maximilian Bauhofer , Marcus Henninger , Thorsten Wild , Stephan ten Brink , Silvio Mandelli

We investigate the data distribution valuation problem, which aims to quantify the values of data distributions from their samples. This is a recently proposed problem that is related to but different from classical data valuation and can…

Machine Learning · Computer Science 2026-04-08 Cuong N. Nguyen , Cuong V. Nguyen

This paper extends the work of Clarke [1] on the Bayesian foundations of the biomagnetic inverse problem. It derives expressions for the expectation and variance of the a posteriori source current probability distribution given a prior…

Medical Physics · Physics 2009-10-31 R. Hasson , S. J. Swithenby

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

Applications · Statistics 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

Machine Learning · Computer Science 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

We study the normal mean inference problem, which involves simultaneous testing of the means of many normal distributions. This problem has been extensively studied within the empirical Bayes (EB) framework. However, the reliability of most…

Methodology · Statistics 2026-04-03 Kwangok Seo , Johan Lim